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Finding the Third Proportional to 164,500 and 357,187

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Solution

The third proportional to 164,500 and 357,187 is: 775,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500 : 357,187 = 357,187 : x
  2. Step 2: Convert to fraction form
    164,500/357,187 = 357,187/x
  3. Step 3: Cross multiply
    164,500x = 357,187 × 357,187
  4. Step 4: Simplify right side
    164,500x = 127,582,552,969
  5. Step 5: Solve for x
    x = 127,582,552,969/164,500
  6. Step 6: Final answer
    x = 775,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.